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212211110102020 = 225101105055005001
BaseRepresentation
bin110000010000000100111111…
…110101011100010000000100
31000211101011222010121111200021
4300100010333311130100010
5210303331323141231040
62031200234345424524
762461514064515161
oct6020047765342004
91024334863544607
10212211110102020
1161687254358447
121b973b2749b144
139154563964ba3
143a59103055068
1519801709c124a
hexc1013fd5c404

212211110102020 has 24 divisors (see below), whose sum is σ = 450055641428568. Its totient is φ = 84044004000000.

The previous prime is 212211110101927. The next prime is 212211110102021. The reversal of 212211110102020 is 20201011112212.

It can be written as a sum of positive squares in 4 ways, for example, as 107736054641604 + 104475055460416 = 10379598^2 + 10221304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212211110101985 and 212211110102003.

It is not an unprimeable number, because it can be changed into a prime (212211110102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52527500481 + ... + 52527504520.

It is an arithmetic number, because the mean of its divisors is an integer number (18752318392857).

Almost surely, 2212211110102020 is an apocalyptic number.

212211110102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211110102020 is an abundant number, since it is smaller than the sum of its proper divisors (237844531326548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212211110102020 is a wasteful number, since it uses less digits than its factorization.

212211110102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105055005111 (or 105055005109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212211110102020 its reverse (20201011112212), we get a palindrome (232412121214232).

The spelling of 212211110102020 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred ten million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 105055005001 210110010002 420220020004 525275025005 1050550050010 2101100100020 10610555505101 21221111010202 42442222020404 53052777525505 106105555051010 212211110102020